(Solution) - Andalus Furniture Company has two manufacturing plants one at A -(2025 Original AI-Free Solution)

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Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.
Aynor: Cost = 75Q1 + 5Q21+ 100
Spartanburg: Cost = 25Q2 + 2.5Q22+ 150
Where
Q1 = number of chairs produced at Aynor
Q2 = number of chairs produced at Spartanburg

Andalus needs to manufacture a total of 40 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost?